Calculus of Variations and Geometric Measure Theory
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P. Bousquet - L. Brasco

Lipschitz regularity for orthotropic functionals with nonstandard growth conditions

created by brasco on 17 Sep 2018
modified on 06 Apr 2020

[BibTeX]

Accepted Paper

Inserted: 17 sep 2018
Last Updated: 6 apr 2020

Journal: Rev. Mat. Iberoam.
Pages: 38
Year: 2019

Abstract:

We consider a model convex functional with orthotropic structure and super-quadratic nonstandard growth conditions. We prove that bounded local minimizers are locally Lipschitz, with no restrictions on the ratio between the highest and the lowest growth rate.

Keywords: Degenerate elliptic equations, Lipschitz regularity, Nonstandard growth conditions, orthotropic problems


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